Question

Two coducting wires of the same materisl and equal lengths and equal diameters ar first connected in series and yhen parallel connection with samr potential diffrence.the ratio of heat produce of series and parallel combination would be

Answer 1

Explanation:

Since the two wires have same material, length and diameter, they have the same resistance. Let the resistance of each wire be R.

Let applied potential difference be V.

${R_{series}$ = ${R}_{1}$ + ${R}&{2}$ = R + R = 2R

${P}_{series}$ = V²/${R_{series}$ = V²/2R .....................eq. (i)

1/ ${R_{parallel}$ =1/ ${R}_{1}$ + 1/ ${R}_{2}$

${R}_{parallel}$ = R/2

${P}_{parallel}$ = V²/${R_{parallel}$ = 2V²/R ....................eq. (ii)

Dividing (ii) by (i)

$\frac{P_parallel}{P_series}$ = 1/4